399162401316480 has 512 divisors, whose sum is σ = 1370736989798400. Its totient is φ = 98512225320960.

The previous prime is 399162401316473. The next prime is 399162401316491. The reversal of 399162401316480 is 84613104261993.

It is a self number, because there is not a number n which added to its sum of digits gives 399162401316480.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8048091042 + ... + 8048140638.

It is an arithmetic number, because the mean of its divisors is an integer number (2677220683200).

Almost surely, 2^{399162401316480} is an apocalyptic number.

399162401316480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399162401316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685368494899200).

399162401316480 is an abundant number, since it is smaller than the sum of its proper divisors (971574588481920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

399162401316480 is a wasteful number, since it uses less digits than its factorization.

399162401316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55552 (or 55540 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 399162401316480 in words is "three hundred ninety-nine trillion, one hundred sixty-two billion, four hundred one million, three hundred sixteen thousand, four hundred eighty".